15. Graph Spanning Tree

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Algorithms and Data Structures | Test 3 Review | CSCI-3110-002 MTSU
Mena Sargios
Quiz by Mena Sargios, updated more than 1 year ago
Mena Sargios
Created by Mena Sargios over 7 years ago
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Resource summary

Question 1

Question
How do you know if a connected undirected graph does not contain a cycle?
Answer
  • A connected undirected graph that has EXACTLY n-1 edges, with n being the number of nodes in the graph, cannot contain a cycle.
  • none

Question 2

Question
A connected undirected graph with 17 nodes has 20 edges. Is it a spanning tree? If so, why?
Answer
  • A) No.
  • B) Not enough information is presented to reach a conclusion.
  • C) Yes; any connected but undirected graph is a spanning tree.
  • D) Yes; a spanning tree is a connected graph with at least (N + 1) edges.

Question 3

Question
How do you get the minimum spanning tree?
Answer
  • Prim's Algorithm
  • none

Question 4

Question
What is a spanning tree?
Answer
  • A.graph that has two cycles
  • B.graph that has one cycle
  • C.graph that has no cycle
  • D.none of the above

Question 5

Question
What is a Spannning three?
Answer
  • A. Connected graph
  • B. Undirected graph without cycles
  • C. All the above.

Question 6

Question
What results from a Depth-First Search?
Answer
  • A) 2-3 Tree
  • B) Binary Tree
  • C) Balanced Binary Tree
  • D) Spanning Tree

Question 7

Question
A connected __ digraph with n vertices and ___ n-1 degrees ___ a cycle
Answer
  • a.directed, exactly, must contain ;undirected, more than, cannot contain
  • b.undirected, more than, must contain ;undirected, exactly, cannot contain
  • c.undirected, exactly, cannot contain ;directed, more than, must contain
  • d.directed, more than, must contain ;directed, exactly, cannot contain
  • e. None of the above

Question 8

Question
What aglorithm is used to find the minimum spanning tree for a graph?
Answer
  • A. Depth First Search
  • B. Bubble Sort
  • C. Dijkstra's Algorithm
  • D. Prim's Algorithm

Question 9

Question
Which of the following is NOT a way to find a spanning tree?
Answer
  • A. DFS
  • B. BFS
  • C. Prim's
  • D. Dijkstra's

Question 10

Question
Which of the following are correct concerning spanning trees?
Answer
  • A. all trees are graphs, but not all graphs are trees, and it is a connected, undirected graph without cycles
  • B. all trees are not graphs, but all graphs are trees, and it is a connected, undirected graph without cycles
  • C. all trees are graphs, but not all graphs are trees, and it is an unconnected, undirected graph without cycles
  • D. all trees are not graphs, but all graphs are trees, and it is an unconnected, undirected graph without cycles

Question 11

Question
A graph with that is not connected will not have a spanning tree?
Answer
  • True
  • False

Question 12

Question
A connected undirected graph that has n vertices and exactly n - 1 edges must contain at least one cycle.
Answer
  • True
  • False
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